How to Find GCF of 9207/672, 4715/6758?

GCF of 9207/672, 4715/6758

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9207/672, 4715/6758 i.e 1/2270688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9207/672, 4715/6758.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9207/672,4715/6758?

Given fractions are 9207/672,4715/6758

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9207/672,4715/6758, numerators are 9207,4715

Denominators are 672,6758

The GCF of 9207,4715 is 1 .

LCM of 672,6758 is 2270688.

The greatest common factor of 9207/672,4715/6758 = [GCF of 9207,4715]/[LCM of 672,6758]= 1/2270688

Therefore, the GCF of 9207/672,4715/6758 is 1/2270688.

Greatest Common Factor of 9207,4715

To find the highest common factor of 9207,4715, we have to find the factors of both numbers and list the highest common factor.

The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207

The factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715

The HCF of 9207,4715 is 1.

Lets's calculate GCF of 9207,4715

Greatest Common Factor (GCF) of 9207,4715 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9207,4715 By Matching Biggest Common Factor Method

Now, list down the factors of 9207

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Now, list down the factors of 4715

1,5,23,41,115,205,943,4715

Greatest Common Factor

We found the factors 9207,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,4715 is 1.

Lets's calculate LCM of 672,6758

Lowest Common Multiple of 672,6758 using Common Division

2	672, 6758
	336, 3379

∴ So the LCM of the given numbers is 2 x 336 x 3379 = 2270688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2270688

Therefore, the GCF of Fractions 9207/672,4715/6758 is 1/2270688

Least Common Multiple of 672,6758 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 672,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,6758) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(672,6758) x common factors =2 x 1 = 2

LCM(672,6758) = ( 672 × 6758 ) / 2

LCM(672,6758) = 4541376 / 2

LCM(672,6758) = 2270688

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9207/672, 4715/6758

1. What is the HCF of 9207,4715?

The HCF of 9207,4715 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9207/672, 4715/6758?

Answer: GCF of Numerators as per given numbers 9207/672, 4715/6758 is

GCF of Numerators i.e. for 9207,4715 is 1

LCM of denominators i.e. for 672,6758 is 2270688.

Thus, GCF of Fractions is 1/2270688.Finally, GCF of Fractions for 9207/672, 4715/6758 is 1/2270688.